Synchronization of two hyperchaotic R ö ssler systems : Model-matching approach 1

In this paper, a study of synchronization problem of hyperchaotic discrete-time systems is presented. In particular, we use a model-matching approach to synchronize two unidirectionally coupled Rössler systems. Key-Words: Synchronization, hyperchaotic system, discrete-time nonlinear system, model-matching problem, Rössler system. 1 This work was supported by the CONACYT, México under Research Grant No. 31874-A. 2 Aguilar-Bustos is also with the Technological Institute of Ensenada, México.

[1]  Rafael Castro-Linares,et al.  Stability of discrete nonlinear systems under novanishing pertuabations: application to a nonlinear model-matching problem , 1999 .

[2]  L. Pei,et al.  Synchronization of chaotic systems: a generalized Hamiltonian systems approach , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[3]  Ute Feldmann,et al.  Communication by chaotic signals: the inverse system approach , 1995, Proceedings of ISCAS'95 - International Symposium on Circuits and Systems.

[4]  Martin Hasler,et al.  Engineering chaos for encryption and broadband communication , 1995, Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences.

[5]  Chai Wah Wu,et al.  A Simple Way to Synchronize Chaotic Systems with Applications to , 1993 .

[6]  Leon O. Chua,et al.  Experimental Demonstration of Secure Communications via Chaotic Synchronization , 1992, Chua's Circuit.

[7]  Henk Nijmeijer,et al.  Synchronization through Filtering , 2000, Int. J. Bifurc. Chaos.

[8]  Henk Nijmeijer.  Local (dynamic) Input-Output Decoupling of Discrete Time Nonlinear Systems , 1987 .

[9]  Leon O. Chua,et al.  Conditions for impulsive Synchronization of Chaotic and hyperchaotic Systems , 2001, Int. J. Bifurc. Chaos.

[10]  Henk Nijmeijer,et al.  An observer looks at synchronization , 1997 .

[11]  D. Normand-Cyrot,et al.  Minimum-phase nonlinear discrete-time systems and feedback stabilization , 1987, 26th IEEE Conference on Decision and Control.

[12]  Arjan van der Schaft,et al.  Non-linear dynamical control systems , 1990 .

[13]  Jürgen Kurths,et al.  Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.

[14]  Ott,et al.  Enhancing synchronism of chaotic systems. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[15]  J. Grizzle.  Controlled invariance for discrete-time nonlinear systems with an application to the disturbance decoupling problems , 1985 .